38368910208 has 128 divisors (see below), whose sum is σ = 105347721600. Its totient is φ = 12366305280.

The previous prime is 38368910197. The next prime is 38368910219. The reversal of 38368910208 is 80201986383.

It is an interprime number because it is at equal distance from previous prime (38368910197) and next prime (38368910219).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368135 + ... + 1395897.

It is an arithmetic number, because the mean of its divisors is an integer number (823029075).

Almost surely, 2^38368910208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38368910208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52673860800).

38368910208 is an abundant number, since it is smaller than the sum of its proper divisors (66978811392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38368910208 is a wasteful number, since it uses less digits than its factorization.

38368910208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27900 (or 27888 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 38368910208 in words is "thirty-eight billion, three hundred sixty-eight million, nine hundred ten thousand, two hundred eight".